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3 years ago

50 POINTS!!!

Mathematics

2 answers:

barxatty [35]3 years ago

7 0

Answer:

18 pi ^2

I had a similar explanation to the one below. I believe that is the most simple way to come up with a answer.

Fittoniya [83]3 years ago

4 0

Answer:

18 π cm^2.

Step-by-step explanation:

The area of the whole circle = π r^2 = 81π cm^2.

Since there are 360 degrees in a circle the area of the shaded region =

80/360 * area of the circle.

This = 80/360 * 81 π

= 2/9 * 81 π

= 18 π

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Find the slope of the line

Reika [66]

Answer:

7/3

Step-by-step explanation:

We can find the slope of a line given two points by

m = (y2-y1)/ (x2-x1)

= (3--4)/(4-1)

= (3+4)/(4-1)

7/3

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3 years ago

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Find the unit rate. Round to the nearest hundredth, if necessary.<br> $370 for 12 ft2

valentina_108 [34]

Answer:

30.80

Step-by-step explanation:

$370/12ft^2

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3 years ago

Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Vilka [71]

For a cartesian equation
$x=r\cos\theta \ and \ y=r\sin\theta \\ \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\ \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\ \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}$

Given r = <span>10 tan(θ) sec(θ)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).

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3 years ago

5 x 10^5 is how many times as large as 1 x 10^5?

Oxana [17]

Answer:

5 times as large

Step-by-step explanation:

You can think of "10^5" as "green marbles" if you like. Then your question is ...

5 green marbles is how many times as large as 1 green marble.

Hopefully, the answer is all too clear: it is 5 times as large.

_____

In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:

y/x . . . . . tells you how many times as large as x is y.

Here, that looks like ...

$\dfrac{5\times 10^5}{1\times 10^5}\\\\=\dfrac{5}{1} \qquad\text{the factors of $10^5$ cancel}\\\\=5$

4 0

3 years ago

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The line AB has the midpoint of (2,5) A has coordinates (1,7) find the coordinates of B

Pavel [41]

Answer:

Point B is at (3,3)

Step-by-step explanation:

the mid point is (2,5) and A is at (1,7)

first find the slope:

y1 - y2/x1 - x2

7 - 5/1 - 2

2/-1

-2/1

then go down 2 units and right 1 unit from (2,5):

(2 + 1, 5 - 2) => (3,3)

6 0

3 years ago